4 papers
Permutation module decomposition of the cohomology of Hessenberg varieties associated with lollipop graphs
Soojin Cho, Seonjeong Park
We study the cohomology of regular semisimple Hessenberg varieties associated with lollipop graphs as a module under the dot action. Using the natural basis introduced by Cho, Hong…
Towards combinatorial characterization of the smoothness of Hessenberg Schubert varieties
Soojin Cho, JiSun Huh, Seonjeong Park
A \emph{Hessenberg Schubert variety} is an irreducible component of the intersection of a Schubert variety and a Hessenberg variety, defined as the closure of a Schubert cell inter…
Intersections of Schubert varieties and smooth -stable subvarieties of flag varieties
Jaehyun Hong, Eunjeong Lee, Seonjeong Park
A smooth projective variety with an action of a torus admits a cell decomposition, called the Bialynicki-Birula decomposition. Singularities of the closures of these cells are not…
Torus orbit closures in the flag variety
Eunjeong Lee, Mikiya Masuda, Seonjeong Park
The study of torus orbit closures in the (complete) flag variety was initiated by Klyachko and Gelfand--Serganova in the mid-1980s, but it seems that not much has been done since t…